“I apologize to you, and as a state, we will not allow this to happen again,” Mr. Sisi said. “I am here to tell you and every Egyptian woman I apologize to all of you.”

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Mr. Sisi’s visit and apology, on his third day in office, were orchestrated to convey his determination to combat sexual violence against women. It was a far more forceful expression of personal commitment than was ever made by his predecessors, Mohamed Morsi of the Muslim Brotherhood, whose military ouster Mr. Sisi led last year, or Hosni Mubarak, who was forced to resign amid a popular uprising in 2011.

Escalating reports of such assaults in the three years of protests and tumult since the ouster of Mr. Mubarak have outraged many Egyptians, and Mr. Sisi’s apology followed two days of renewed public uproar after the release on Sunday of an online video showing flashes of a brutal attack on the woman in Tahrir Square.

“Tahrir has cameras, and there is a video shot of me, and my daughter watches it every day and breaks down — it’s on YouTube,” said the woman, whose name was withheld and whose face was obscured in the television footage.

Mr. Sisi responded, “Don’t be upset for yourself or for her.” He added that he was there to tell Egyptians, “Shame on you to let this happen even if it is one case in all of Egypt.”

A former army general and defense minister, Mr. Sisi visited the hospital room flanked by senior military officials in their uniforms and brought a bouquet of red flowers.

In a statement, Mr. Sisi’s office said that he had formed a ministerial committee including representatives of the relevant branches of government, the Muslim and Christian religious establishment, and “civil society” in order to “identify the underlying causes behind the proliferation of this phenomenon and delineate a national strategy to address it.”

May Kamel contributed reporting.

A version of this article appears in print on , Section A, Page 6 of the New York edition with the headline: Egyptian Leader Apologizes to Victim of Sexual Assault in Tahrir Square. Order Reprints | Today’s Paper | Subscribe